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People who possess logical-mathematical intelligence think logically and easily see patterns. Logical-math people are very good at transferring abstract concepts to reality and are often able to communicate these concepts to others. They may also enjoy solving life's puzzles through sciences and can be very good inventors, having the skill to visualize (conceptually alter) an invention before they even make a prototype.
A person such of this type may enjoy Mensa puzzles and games or a card game such as Set, in which players must compare against each other to find the most combinations of similarities or differences in designs and shapes drawn on a deck of special cards. This requires lightening-fast visual analysis and the ability to process information in a certain way. These people normally do well in "regular" school, which was designed for their type of intelligence. The old-fashioned IQ test measures this type of intelligence more than any other.
For children with this intelligence, you can easily get them involved in learning less "mathematical" or "logical" subjects simply by working from the direction of "how-to" rather than relying on teaching facts and figures and hoping for those to somehow "mystically" connect.